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Finding the Third Proportional to 66.75 and 90.19

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Solution

The third proportional to 66.75 and 90.19 is: 121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.75 : 90.19 = 90.19 : x
  2. Step 2: Convert to fraction form
    66.75/90.19 = 90.19/x
  3. Step 3: Cross multiply
    66.75x = 90.19 × 90.19
  4. Step 4: Simplify right side
    66.75x = 8,133.79
  5. Step 5: Solve for x
    x = 8,133.79/66.75
  6. Step 6: Final answer
    x = 121.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.